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Finding the Third Proportional to 328,869 and 496,858.50

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Solution

The third proportional to 328,869 and 496,858.50 is: 750,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,869 : 496,858.50 = 496,858.50 : x
  2. Step 2: Convert to fraction form
    328,869/496,858.50 = 496,858.50/x
  3. Step 3: Cross multiply
    328,869x = 496,858.50 × 496,858.50
  4. Step 4: Simplify right side
    328,869x = 246,868,369,022.25
  5. Step 5: Solve for x
    x = 246,868,369,022.25/328,869
  6. Step 6: Final answer
    x = 750,658.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.